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Finding the Third Proportional to 1,705 and 3,561.50

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Solution

The third proportional to 1,705 and 3,561.50 is: 7,439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705 : 3,561.50 = 3,561.50 : x
  2. Step 2: Convert to fraction form
    1,705/3,561.50 = 3,561.50/x
  3. Step 3: Cross multiply
    1,705x = 3,561.50 × 3,561.50
  4. Step 4: Simplify right side
    1,705x = 12,684,282.25
  5. Step 5: Solve for x
    x = 12,684,282.25/1,705
  6. Step 6: Final answer
    x = 7,439.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.